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Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models

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Abstract

Recent advances in abstract local and global bifurcation theory is briefly reviewed. Several applications are included to illustrate the applications of abstract theory, and it includes Turing instability of chemical reactions, pattern formation in water limited ecosystems, and diffusive predator-prey models.

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Authors and Affiliations

  1. Department of Mathematics, College of William and Mary, Williamsburg, VA, 23185, USA

    Junping Shi

  2. School of Mathematics, Harbin Normal University, Harbin, 150025, China

    Junping Shi

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Shi, J. Bifurcation in infinite dimensional spaces and applications in spatiotemporal biological and chemical models. Front. Math. China 4, 407–424 (2009). https://doi.org/10.1007/s11464-009-0026-4

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  • DOI: https://doi.org/10.1007/s11464-009-0026-4

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